ALGEBRA Algebra is a branch of mathematics in which symbols are used to represent numbers

Symbols What is an algebraic expression ??? symbols used in algebra are called letters a symbol used to represent a number is called a variable What is an algebraic expression ??? It is an expression made up of one or more terms

All about TERMS… Examples of Terms 32 45 Constant (a number all alone) a number (constant) a variable a number • a variable A term could be: Examples of Terms 32 45 Constant (a number all alone) d y Variable (a letter all alone) 6n 4f Number multiplied by a variable 6 and 4 are called the Coefficients

How many terms can you count? 3 – 7c + 2c – 3 6a + 4c – 3v Don’t forget to simplify completely before deciding how many terms there are.

“Like Terms” A LIKE term is when IDENTICAL exponents are assigned to IDENTICAL variables. Examples: 2a2 4a2 -19a2 variables are all ‘a’ exponents are all ‘2’ Important: The coefficient is ignored when determining if terms are “LIKE”

Binomials & Trinomials are made up of monomials that are not “LIKE” P O L Y N O M I A L S Monomials → r2, 4c, -9s A single term not linked by addition or subtraction. Monomials have non-negative integer exponents. Binomials→ 3a + 5 a2 – 4 Trinomials → a2 + 4x – 23 7b3 – 6x2 + 2 Three monomials linked by addition or subtraction. The three terms may not be LIKE terms. Two monomials linked by addition or subtraction. The two terms may not be LIKE terms. Binomials & Trinomials are made up of monomials that are not “LIKE”

So..who uses algebra anyway??? Fighter Pilots …

A weatherman…

Practice adding / subtracting polynomials 6x3+ 2x3 = 8c3d +4a2b3– 5c3d - 10a2b3 = 8x3 3c3d - 6a2b3 When you add or subtract LIKE terms, you ONLY work with the coefficient

Practice : Page 252 # l(at top) Activity 1 a) Page 253 b) c) Textbook Textbook Page 252 # l(at top) Activity 1 a) Page 253 b) c) Page 256 #1 #2 Page 257 #5 #9 page 262 #1-4 Page 263 #5-7 9-11